Given the points C(-1,-5) and D(-7,11) find the coordinates of point E on CD such that the ratio of CE to ED is 5:3. ((Yes im this stupid, please help-))

The coordinates of point E on CD are .

Step-by-step explanation:

Let be , and . The given ratio can be translated vectorially into this:

And let consider that each point is a vector with respect to origin:

and

Then,

The coordinates of point E on CD are .

c

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18